Question

The ratio of the number of boys and girls in a school is $3:2$. If $20\%$ of the boys and $25\%$ of the girls are scholarship holders, what percentage of the students do not get the scholarship?

• A. $56\%$
• B. $70\%$
• C. $78\%$
• D. $80\%$

Answer 1

Answer: (C)

$78\%$

let total number of student $=100$

Ratio of boys and girls = $3:2$

Number of boys = $\frac{3}{5}\times 100=60$

Number of girls = $100-60=40$

Scholarship holder boys $=20\%of60$

$=\frac{20}{100}\times 60=12$

Scholarship holder girls $=25\%of40$

$=\frac{25}{100}\times 40=10$

Total scholarship student = $12+10=22$

Number of students does not get scholarship =$100-22=78$

Required percentage =$\frac{78}{100}\times 100=78\%$